Question

ariana grande is coming to north gulfport middle school for a fundraising benefit concert!Nevaeh is selling tickets.This week,she sold 3 kids tickets and 9adukg tickets for a total of $75.Last week,she sold 8 kids tickets and 5 adult tickets for $67.How much was each adult ticket,and how much was each kids ticket .please show work :)

Answer 1

Answer:

Adult = $7

Kids = $4

Step-by-step explanation:

Before we can find the price of the tickets, we first need to create expressions that can be used to explain the prices.

Let x = Price of kids tickets

Let y = Price of adults tickets

For this week the expression is:

3x + 9y = 75

For the last week the expression is:

8x + 5y = 67

Now to be able to find the value of x or y, we can use the Solving Linear Equations by Multiplying First Method.

3x + 9y = 75

8x + 5y = 67

Now we need to remove either the x or y by multiplying the whole expressions by a certain number.

8(3x + 9y = 75)

24x + 72y = 600

3(8x + 5y = 67)

24x + 15y = 201

Now that we have our equations and we can eliminate the x by subtracting both expressions.

24x + 72y = 600

- 24x + 15y = 201

         57y = 399

To find the value of y, we divide both sides by 57.

$\dfrac{57y}{57}=\dfrac{399}{57}$

y = 7

Now that we have the value for y, we simply substitute the value in any of our expressions.

3x + 9y = 75

3x + 9(7) = 75

3x + 63 = 75

3x = 75 - 63

3x = 12

Now we divide both sides by 3 to find the value of x.

$\dfrac{3x}{3}=\dfrac{12}{3}$

x = 4

So the ticket prices are:

Adult = $7

Kids = $4